Cremona's table of elliptic curves

4290 = 2 · 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11+ 13-	Signs for the Atkin-Lehner involutions
Conductor	4290	Conductor
Count	8	Number of curves in isogeny class
Curves	4290bb1 4290bb2 4290bb3 4290bb4 4290bb5 4290bb6 4290bb7 4290bb8	Curves in isogeny class
deg	13824	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- -4 11+ 13- -6 -4	Hecke eigenvalues for primes less than 20
L	5.9624636195066	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	34320bn 12870p 21450d 47190bh	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 4290bb

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-	-4	+	-	-6	-4	0	-6	-4	2	-6	-4	0	-6	12	-10	-4	0	2	8	12	-6	-10

---

Quadratic twists for isogeny class 4290bb

-4	-3	5	-11	13
34320bn	12870p	21450d	47190bh	55770bc

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations